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3200200302312 = 23321315732216761
BaseRepresentation
bin101110100100011010110…
…011010101111011101000
3102022221021110110101001200
4232210122303111323220
5404413002234133222
610450052434444200
7450130642514616
oct56443263257350
912287243411050
103200200302312
111024219706a82
12438278733660
131a2a154b0b50
14b0c678386b6
15583a0581eac
hex2e91acd5ee8

3200200302312 has 192 divisors, whose sum is σ = 9397675319760. Its totient is φ = 977956761600.

The previous prime is 3200200302311. The next prime is 3200200302407. The reversal of 3200200302312 is 2132030020023.

It is a happy number.

3200200302312 is a `hidden beast` number, since 3 + 200 + 200 + 30 + 231 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1603348542756 + 1596851759556 = 1266234^2 + 1263666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3200200302311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473329012 + ... + 473335772.

Almost surely, 23200200302312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200200302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698837659880).

3200200302312 is an abundant number, since it is smaller than the sum of its proper divisors (6197475017448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3200200302312 is a wasteful number, since it uses less digits than its factorization.

3200200302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3200200302312 its reverse (2132030020023), we get a palindrome (5332230322335).

The spelling of 3200200302312 in words is "three trillion, two hundred billion, two hundred million, three hundred two thousand, three hundred twelve".